Question

State where (√6 +√9) is rational or not.​

Answer 1

Answer:

Not rational

Step-by-step explanation:

√6+√9

=√6+3 which is not rational

Answer 2

QUESTION-

State where (√6 +√9) is rational or not.

ANSWER-

It is irrational

Explanation -

Let,6+9=qpi.e,rationalnumber6+3=qp6=qp−3⇒6=qpp−3q=ba

0 b are co- prime integer6=b2a2b2=6a2→(i)It means 6 divides a2 as well as b. from equation 1 and 2 we get 6 a common factor of a and b. This is contradiction as our assumption is wrong.Hence, 6+9 is irrational.